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Finding the Fourth Proportional to 3,796.74, 5,695.20 and 1,023.66

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Solution

The fourth proportional to 3,796.74, 5,695.20 and 1,023.66 is: 1,535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.74 : 5,695.20 = 1,023.66 : x
  2. Step 2: Convert to fraction form
    3,796.74/5,695.20 = 1,023.66/x
  3. Step 3: Cross multiply
    3,796.74x = 5,695.20 × 1,023.66
  4. Step 4: Simplify right side
    3,796.74x = 5,829,948.43
  5. Step 5: Solve for x
    x = 5,829,948.43/3,796.74
  6. Step 6: Final answer
    x = 1,535.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.